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Simplifying x2 + 3ax + -4x + 2 = 0 Reorder the terms: 2 + 3ax + -4x + x2 = 0 Solving 2 + 3ax + -4x + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3ax + -4x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 3ax + -4x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3ax + -4x + x2 = 0 + -2 3ax + -4x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 3ax + -4x + x2 = -2 Add '4x' to each side of the equation. 3ax + -4x + 4x + x2 = -2 + 4x Combine like terms: -4x + 4x = 0 3ax + 0 + x2 = -2 + 4x 3ax + x2 = -2 + 4x Add '-1x2' to each side of the equation. 3ax + x2 + -1x2 = -2 + 4x + -1x2 Combine like terms: x2 + -1x2 = 0 3ax + 0 = -2 + 4x + -1x2 3ax = -2 + 4x + -1x2 Divide each side by '3x'. a = -0.6666666667x-1 + 1.333333333 + -0.3333333333x Simplifying a = -0.6666666667x-1 + 1.333333333 + -0.3333333333x Reorder the terms: a = 1.333333333 + -0.6666666667x-1 + -0.3333333333x
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